h-p Spectral Element Method for Elliptic Eigenvalue Problems: Eigenvalue Problems on Non-smooth domains - Couverture souple

Balyan, Lokendra Kumar; Dutt, Pravir

 
9783846589847: h-p Spectral Element Method for Elliptic Eigenvalue Problems: Eigenvalue Problems on Non-smooth domains
Couverture souple
ISBN 10 : 3846589845 ISBN 13 : 9783846589847
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

This book deals with the techniques to solve elliptic eigenvalue problems on polygonal domains using least squares methods. It provides an in-depth treatment of an exponentially accurate nonconforming h-p spectral element method. The spectral element functions are nonconforming and a correction is made to the approximate solution so that the corrected solution is conforming. In this book we discuss the method separately when the boundary of underlying domain is smooth and also when the boundary contains corners. We present error estimates for the eigenvalues and eigenvectors and show that the error in the numerical solution is exponentially small. Theoretical results presented in the book are equally well suited for multiple or clustered eigenvalues.

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Présentation de l'éditeur

This book deals with the techniques to solve elliptic eigenvalue problems on polygonal domains using least squares methods. It provides an in-depth treatment of an exponentially accurate nonconforming h-p spectral element method. The spectral element functions are nonconforming and a correction is made to the approximate solution so that the corrected solution is conforming. In this book we discuss the method separately when the boundary of underlying domain is smooth and also when the boundary contains corners. We present error estimates for the eigenvalues and eigenvectors and show that the error in the numerical solution is exponentially small. Theoretical results presented in the book are equally well suited for multiple or clustered eigenvalues.

Biographie de l'auteur

Author was born in a village of Uttar Pradesh, INDIA. He did his Master of Science in applied mathematics from I.I.T. Roorkee and Ph.D. in applied mathematics and parallel computing from I.I.T. Kanpur in 2009. His current research areas are Numerical Analysis, Algorithms and High Performance Computing.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3846589845
ISBN 13 
9783846589847
Reliure
Broché
Nombre de pages
112
Coordonnées du fabricant
non disponible
Personne responsable
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